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Simplifying -4(k + 1) + -1k + -12 = -5(k + 4) + 4 Reorder the terms: -4(1 + k) + -1k + -12 = -5(k + 4) + 4 (1 * -4 + k * -4) + -1k + -12 = -5(k + 4) + 4 (-4 + -4k) + -1k + -12 = -5(k + 4) + 4 Reorder the terms: -4 + -12 + -4k + -1k = -5(k + 4) + 4 Combine like terms: -4 + -12 = -16 -16 + -4k + -1k = -5(k + 4) + 4 Combine like terms: -4k + -1k = -5k -16 + -5k = -5(k + 4) + 4 Reorder the terms: -16 + -5k = -5(4 + k) + 4 -16 + -5k = (4 * -5 + k * -5) + 4 -16 + -5k = (-20 + -5k) + 4 Reorder the terms: -16 + -5k = -20 + 4 + -5k Combine like terms: -20 + 4 = -16 -16 + -5k = -16 + -5k Add '16' to each side of the equation. -16 + 16 + -5k = -16 + 16 + -5k Combine like terms: -16 + 16 = 0 0 + -5k = -16 + 16 + -5k -5k = -16 + 16 + -5k Combine like terms: -16 + 16 = 0 -5k = 0 + -5k -5k = -5k Add '5k' to each side of the equation. -5k + 5k = -5k + 5k Combine like terms: -5k + 5k = 0 0 = -5k + 5k Combine like terms: -5k + 5k = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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